Using the double angle of half angle formula, how do you simplify #sin8 /(1+cos 8)#? Trigonometry Trigonometric Identities and Equations Half-Angle Identities 1 Answer Nghi N. Apr 29, 2015 Use the 2 trig identities: #sin 2a = 2. sin a. cos a# and # 1 + cos 2a = 2. cos^2 a# #y = (sin 8x)/(1 + cos 8x)# =# (2. sin 4x. cos 4x)/(2. cos^2 4x)# #y = tan 4x# Answer link Related questions What is the Half-Angle Identities? How do you use the half angle identity to find cos 105? How do you use the half angle identity to find cos 15? How do you use the half angle identity to find sin 105? How do you use the half angle identity to find #tan (pi/8)#? How do you use half angle identities to solve equations? How do you solve #\sin^2 \theta = 2 \sin^2 \frac{\theta}{2} # over the interval #[0,2pi]#? How do you find the exact value for #sin105# using the half‐angle identity? How do you find the exact value for #cos165# using the half‐angle identity? How do you find the exact value of #cos15#using the half-angle identity? See all questions in Half-Angle Identities Impact of this question 5388 views around the world You can reuse this answer Creative Commons License